I think I may have this same stuff on my living room walls under the paneling but it's attached to plaster. I have been avoiding dealing with it for now--
Liquid Nails has a product listed that's called Adhesive and Caulk Remover (
http://www.liquidnails.com/ViewProdu...?productId=31). It doesn't say that you shouldn't use it on wood (says you shouldn't use it on a large number of other things though), so you might want to test a spot and see what happens.